Search Algorithm: Binary Search
Searching for an element’s presence in a list is usually done using linear search and binary search. Linear search is time-consuming and memory expensive but is the simplest way to search for an element. On the other hand, Binary search is effective mainly due to the reduction of list dimension with each recursive function call or iteration. A practical implementation of binary search is autocompletion.
The objective of this project is to create a simple python program to implement binary search. It can be implemented in two ways: recursive (function calls) and iterative.
The project uses loops and functions to implement the search function. Hence good knowledge of python loops and function calls is sufficient to understand the code flow.
#python tutorials #binary search python #binary search python program #iterative binary search python #recursive binary search python
Today, let us touch base on some fundamental concepts like search algorithms.
In simple terms, **searching **is a process of looking up a particular data record in the database or in the collection of items. A search typically answers as true or false whether the particular data in which we are referring is found or not and perform the next action accordingly.
Commonly used algorithms for search are:
Let us understand them in detail with some example
Linear Search Algorithm is the simplest and easiest form of the search algorithm. In this algorithm, a sequential search is made over all the items one by one to search for the targeted item. Each item is checked in sequence until the match is found. If the match is found, the searched item is returned otherwise the search continues till the end.
To make it easy to understand, let us see understand linear search using a flow diagram
Linear Search — Data Flow
In _Binary search algorithm, _begins with an interval covering the whole array and diving it in half. If the value of the search key is less than the item in the middle of the interval, narrow the interval to the lower half. Otherwise narrow it to the upper half. Repeatedly check until the value is found or the interval is empty.
To make it easy to understand, let us see understand binary search using flow diagram and example as below.
Binary Search — Data Flow
#sorting-algorithms #algorithms #data-structures #search-and-sort #searching-algorithm
Last week at work I was investigating Google’s Firebase products, in particular, the Cloud Firestore database. So, I decided to take a deep dive into the documentation pages. I learned a lot about integrating the database to an application, its data model, best practices to structure our data, and how to create queries using the available SDKs. As I was reading the…
#software-engineering #google #nosql #binary-search #algorithms #algorithms
We have to search for a value **x **in a sorted matrix M. If x **exists, then return its coordinates **(i, j), else return (-1, -1).
Let us consider the above matrix as an example. In this example, we are going to search for the value 12. Since 12 is present in the matrix, the algorithm should return its coordinates (2, 1)
A simple approach is to traverse all the values in the matrix and check if it is equal to 12.
The worst case time complexity of the above algorithm will be
_O(n x m) = O(n²) __when _n = m
The above algorithm behaves worse for large values of n and m. Let us look into the efficient algorithm now.
1\. Start from Top Right position (0, m - 1) in the matrix M 2\. If the value is equal to x return (0, m - 1) 3\. Move one row down if the current value is less than x 4\. Move one column left if the current value is greater than x
Let us apply this algorithm into our matrix M. We are going to search for the value 12 in M
#data-structures #search-sorted-matrix #2d-binary-search #algorithms #matrix-search #algorithms
Searching Algorithms are designed to check for an element or retrieve an element from any data structure where it is stored. Based on the type of search operation, these algorithms are generally classified into two categories:
Linear Search: The idea is to traverse the given array arr and find the index at which the element is present. Below are the steps:
#java #searching #algorithms-searching #binary search